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Journées Matrices Structurées - 10 et 11/05/2012, salle XR203 du Laboratoire XLIM

Programme :

Matrices that arise from a large range of problems in mathematics, physics, engineering etc. typically display a characteristic structure, such as sparsity patterns or a rank structure (e.g., quasi/semi-separable, Toeplitz-like etc. ). Exploiting this structure is the key to the design of more efficient algorithms.

The study of structured matrices is an interdisciplinary field that places itself at a crossroads between symbolic computation (uni- and multivariate polynomial computation, matrix polynomials...), numerical linear algebra (solution of linear systems, classical and generalized eigenvalue problems, functions of matrices...), and more generally all applications that involve structured problems.

We aim to provide an opportunity for researchers from several fields to present their results, exchange ideas, develop and improve collaborations.

The conference will include four invited talks, plus contributed talks. We encourage all participants to propose a talk and share their results, research problems and goals.

Invited speakers:

How differential geometry assists in computing the matrix geometric mean (abstract)

  • Bernhard Beckermann (Université des Sciences et Technologies de Lille)

    The Sylvester equation and Tensor projections on Krylov spaces (abstract)

  • Dario Bini (Università di Pisa)

    On a root-finding approach to the polynomial eigenvalue problem (abstract)

  • Daniel Kressner (Ecole Polytechnique Fédérale Lausanne)

    Fast methods for computing extremal points of unstructured and structured pseudospectra (abstract)

  • Raf Vandebril (Katholieke Universiteit Leuven)

     How differential geometry assists in computing the matrix geometric mean (abstract)